Use polynomial division to completely factor y=x^3+3x^2-13x-15 by x+5

Answer:(x - 3)(x + 1)(x + 5)Step-by-step explanation:I'd use synthetic division instead.  If we were to find the roots of the given polynomial, we could from them write the factors as well.The divisor x + 5 corresponds to root x = -5.  Setting up synthetic div., -5   )   1    3    -13    -15                -5     10    +15       -----------------------------            1   -2     -3      0Since the remainder is 0, we know that -5 is a root and (x + 5) is a factor.  Moreover, we know that the coefficients of the quotient are 1, -2 and -3.1x² - 2x - 3 can be factored:  the factors are (x - 3) and (x + 1).So the end result for this problem is (x - 3)(x + 1)(x + 5).